Information on Result #1831976
OOA(3247, 4325374, S32, 2, 8), using (u, u+v)-construction based on
- OOA(3212, 131073, S32, 2, 4), using
- OOA 2-folding [i] based on OA(3212, 262146, S32, 4), using
- discarding factors based on OA(3212, 262147, S32, 4), using
- discarding parts of the base [i] based on linear OA(6410, 262147, F64, 4) (dual of [262147, 262137, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- linear OA(6410, 262144, F64, 4) (dual of [262144, 262134, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(647, 262144, F64, 3) (dual of [262144, 262137, 4]-code or 262144-cap in PG(6,64)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- discarding parts of the base [i] based on linear OA(6410, 262147, F64, 4) (dual of [262147, 262137, 5]-code), using
- discarding factors based on OA(3212, 262147, S32, 4), using
- OOA 2-folding [i] based on OA(3212, 262146, S32, 4), using
- OOA(3235, 4194301, S32, 2, 8), using
- OOA 2-folding [i] based on OA(3235, 8388602, S32, 8), using
- discarding factors based on OA(3235, large, S32, 8), using
- discarding parts of the base [i] based on linear OA(6429, large, F64, 8) (dual of [large, large−29, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding parts of the base [i] based on linear OA(6429, large, F64, 8) (dual of [large, large−29, 9]-code), using
- discarding factors based on OA(3235, large, S32, 8), using
- OOA 2-folding [i] based on OA(3235, 8388602, S32, 8), using
Mode: Constructive.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OOA(3247, 2162686, S32, 10, 8) | [i] | OOA Folding and Stacking with Additional Row | |